Reconstruction from one boundary measurement of a potential homogeneous of degree zero

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Abstrakt

We consider the inverse boundary value problem concerning the determination and reconstruction of an unknown potential in a Schrödinger equation in a bounded domain from measurements on the boundary of the domain. For the special case of a small potential homogeneous of degree zero we show that one boundary measurement determines the potential uniquely. Moreover, we give a reconstruction procedure.
OriginalsprogEngelsk
UdgivelsesstedAalborg
ForlagDepartment of Mathematical Sciences, Aalborg University
Antal sider13
StatusUdgivet - 2004
NavnResearch Report Series
NummerR-2004-22
ISSN1399-2503

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